Mathematics Flashcard

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, the absolute value of -3 is 3.

Front

How do you compare absolute values of two numbers?

Back

To compare absolute values, look at their distances from zero. The number with the greater distance has the greater absolute value.

Front

What is an equivalent expression?

Back

An equivalent expression is a different way of writing the same mathematical value. For example, 2 + 3 is equivalent to 5.

Front

How do you simplify the expression 6 + 12x?

Back

You can factor it as 6 + 12x = 6(1 + 2x) or 3(2 + 4x).

Front

What is the process to find the maximum number of pieces from a length of ribbon?

Back

To find the maximum number of pieces, divide the total length of the ribbon by the length of each piece. For example, ⅞ yard divided by 1/16 yard gives 14 pieces.

Front

What is the formula for finding the sum of two numbers?

Back

The sum of two numbers is found by adding them together. For example, the sum of 24 and 30 is 54.

Front

What does it mean for two expressions to be equivalent?

Back

Two expressions are equivalent if they have the same value for all values of their variables.

Front

How do you convert a fraction to an equivalent fraction?

Back

To convert a fraction to an equivalent fraction, multiply or divide both the numerator and the denominator by the same non-zero number.

Front

What is the significance of the number zero in absolute value?

Back

Zero is the reference point for absolute value; it represents no distance. The absolute value of zero is zero.

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum.